If it matters, the folks at Straight Jacket Armory consider 3B contour to be roughly equivalent to the Seekins Havak PH barrel. You're already at 23" - unless you really need another few ounces, you're probably straight.
Thanks for all your responses. I may just leave barrel ‘as is’. I was worried about an already small profile looking like a drill bit. However, I was trying explore options to shave weight.
I would be curious to know where you finish, weight wise. You've got the potential for a roughly 7.5-8lb rig, before optics - so, I'd think you're set.